10012011221121 has 64 divisors (see below), whose sum is σ = 17015874011136. Its totient is φ = 5095898841600.

The previous prime is 10012011221099. The next prime is 10012011221207. The reversal of 10012011221121 is 12112211021001.

It is a happy number.

It is not a de Polignac number, because 10012011221121 - 2⁹ = 10012011220609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10012011221121.

It is not an unprimeable number, because it can be changed into a prime (10012011271121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4584060 + ... + 6406061.

It is an arithmetic number, because the mean of its divisors is an integer number (265873031424).

Almost surely, 2^{10012011221121} is an apocalyptic number.

It is an amenable number.

10012011221121 is a deficient number, since it is larger than the sum of its proper divisors (7003862790015).

10012011221121 is a wasteful number, since it uses less digits than its factorization.

10012011221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990262.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10012011221121 its reverse (12112211021001), we get a palindrome (22124222242122).

The spelling of 10012011221121 in words is "ten trillion, twelve billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".